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149648175972 = 22331977419421
BaseRepresentation
bin1000101101011110111…
…0011111001101100100
3112022021020110000001000
42023113232133031210
54422434413112342
6152425235433300
713545264336141
oct2132756371544
9468236400030
10149648175972
1158513548599
1225004a55830
131115b707c69
147358b6b3c8
153d5cc8544c
hex22d7b9f364

149648175972 has 96 divisors (see below), whose sum is σ = 408492694400. Its totient is φ = 47246198400.

The previous prime is 149648175923. The next prime is 149648176087. The reversal of 149648175972 is 279571846941.

149648175972 is a `hidden beast` number, since 1 + 496 + 4 + 8 + 1 + 75 + 9 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15879822 + ... + 15889242.

Almost surely, 2149648175972 is an apocalyptic number.

149648175972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149648175972 is an abundant number, since it is smaller than the sum of its proper divisors (258844518428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149648175972 is a wasteful number, since it uses less digits than its factorization.

149648175972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17194 (or 17186 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 149648175972 in words is "one hundred forty-nine billion, six hundred forty-eight million, one hundred seventy-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 7741 9421 15482 18842 23223 28263 30964 37684 46446 56526 69669 84789 92892 113052 139338 147079 169578 178999 209007 254367 278676 294158 339156 357998 418014 441237 508734 536997 588316 715996 836028 882474 1017468 1073994 1323711 1610991 1764948 2147988 2647422 3221982 3971133 4832973 5294844 6443964 7942266 9665946 15884532 19331892 72927961 145855922 218783883 291711844 437567766 656351649 875135532 1312703298 1385631259 1969054947 2625406596 2771262518 3938109894 4156893777 5542525036 7876219788 8313787554 12470681331 16627575108 24941362662 37412043993 49882725324 74824087986 149648175972